2b. Functions from Verbal Statements
Example 1:
The fixed cost for a company to operate a certain plant is $3,000 per day. It also costs $4 for each unit produced in the plant. Express the daily cost C of operating the plant as a function of the number n of units produced.
Example 2:
An architect designs a window such that it has the shape of a rectangle with a semicircle on top, as shown. (This kind of window is called a Norman window).
The architect wants the base of the window to be 10 cm less than the height of the rectangular part.
Express the perimeter p of the window as a function of the radius r of the circular part.
Exercises
Question 1
For F(t) = 3t - t2 for t ≤ 2, find F(2) and F(3).
Question 2
A rocket burns up at the rate of 2 Mg/min after falling out of orbit into the atmosphere. If the rocket weighed 5,500 Mg before re-entry, express its weight w as a function of the time t, in minutes, of re-entry.
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